On nontrivial types of U-rank 1
Abstract
Theorem A. Suppose that T is superstable and p is a nontrivial type of U-rank 1. Then R(p, L, ∞) = 1. Theorem B. Suppose that T is totally transcendental and p is a nontrivial type of U-rank 1. Then p has Morley rank 1Other Versions
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Vaught’s conjecture for superstable theories of finite rank.Steven Buechler -2008 -Annals of Pure and Applied Logic 155 (3):135-172.
On the existence of regular types.Saharon Shelah &Steven Buechler -1989 -Annals of Pure and Applied Logic 45 (3):277-308.
Non-totally transcendental unidimensional theories.Anand Pillay &Philipp Rothmaler -1990 -Archive for Mathematical Logic 30 (2):93-111.
Semisimple stable and superstable groups.J. T. Baldwin &A. Pillay -1989 -Annals of Pure and Applied Logic 45 (2):105-127.
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Classification Theory and the Number of Nonisomorphic Models.S. Shelah -1982 -Journal of Symbolic Logic 47 (3):694-696.
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